196,241 research outputs found
Supplementary code and data to ESD paper "Inarticulate past: similarity properties of the ice–climate system and their implications for paleo-record attribution" by M. Y. Verbitsky
No full textThis is the supplementary code and data for reproducing results as they are presented in Figure 1 of ESD paper by M. Y. Verbitsky “Inarticulate past: similarity properties of the ice–climate system and their implications for paleo-record attribution".
The code has been tested under MatLab R2015
Supplementary code and data to ESD paper "ESD Ideas: The Peclet number is a cornerstone of the orbital and millennial Pleistocene variability" by M. Y. Verbitsky and M. Crucifix
No full textThis is the supplementary code and data for reproducing results as they are presented in Figure 1c of ESD paper by M.Y. Verbitsky and M. Crucifix “ESD Ideas: The Peclet number is a cornerstone of the orbital and millennial Pleistocene variability".
The code has been tested under MatLab R2015b
Supplementary code and data to ESD paper "Π-theorem generalization of the ice-age theory" by Verbitsky, M.Y. and Crucifix, M.
No full textThis is the supplementary code and data for reproducing results as they are presented in Figure 2 of ESD paper by M.Y. Verbitsky and M. Crucifix "Π-theorem generalization of the ice-age theory ".
The code has been tested under MatLab R2015b. A script fig2.m needs to be executed to reproduce the reference curves.
For other cases, the following parameters need to be changed:
alpha =4., k=0.01, g2=0.105;
alpha =1., k=0.0025, g2=0.42;
alpha =3., k=0.0075,b=3.;
alpha =1., k=0.0025, b=1.</p
Moduli Spaces Of Framed Instanton Bundles On C{double-strcuk}p{double-strcuk}3 And Twistor Sections Of Moduli Spaces Of Instantons On C{double-strcuk}2
No full textWe show that the moduli space M of framed instanton bundles on C{double-strcuk}P{double-strcuk}3 is isomorphic (as a complex manifold) to a subvariety in the moduli of rational curves of the twistor space of the moduli space of framed instantons on R{double-strcuk}4. We then use this characterization to prove that M is equipped with a torsion-free affine connection with holonomy in Sp(2n,C{double-struck}). © 2011 Elsevier Inc.227415261538Atiyah, M.F., Complex analytic connections in fibre bundles (1957) Trans. Amer. Math. Soc., 85, pp. 181-207Chern, S.S., Eine Invariantentheorie der Dreigewebe aus r-dimensionalen Mannigfaltigkeiten im R2r (1936) Abhandl. Math. Semin. Univ. HamburgCoandǎ, I., Tikhomirov, A.S., Trautmann, G., Irreducibility and smoothness of the moduli space of mathematical 5-instantons over P3 (2003) Internat. J. Math., 14, pp. 1-45Donaldson, S., Instantons and geometric invariant theory (1984) Comm. Math. Phys., 93, pp. 453-460Feix, B., (1999), p. 78. , Hyperkähler metrics on cotangent bundles, Ph.D. thesis, OxfordFeix, B., Hyperkähler metrics on cotangent bundles (2001) J. Reine Angew. Math., 532, pp. 33-46Frenkel, I.B., Jardim, M., Complex ADHM equations, and sheaves on P3 (2008) J. Algebra, 319, pp. 2913-2937Grauert, H., Mülich, G., Vectorbundel von Rang 2 uber dem n-dimensionalen komplex projective Raum (1975) Manuscripta Math., 16, pp. 75-100Hauzer, M., Langer, A., Moduli spaces of framed perverse instantons on P3 (2010) Glasg. Math. J., 53, pp. 51-96Jardim, M., Instanton sheaves on complex projective spaces (2006) Collect. Math., 57, pp. 69-97Jardim, M., Atiyah-Drinfeld-Hitchin-Manin construction of framed instanton sheaves (2008) C. R. Acad. Sci. Paris Ser. I, 346, pp. 427-430Kaledin, D., Hyperkähler structures on total spaces of holomorphic cotangent bundles (2001) Hyperkähler Manifolds, , International Press, Boston, D. Kaledin, M. Verbitsky (Eds.)Kaledin, D., Verbitsky, M., Non-Hermitian Yang-Mills connections (1998) Selecta Math. (N.S.), 4, pp. 279-320Maruyama, M., The Theorem of Grauert-Mülich-Spindler (1981) Math. Ann., 255, pp. 317-333Nagy, P.T., Invariant tensorfields and the canonical connection of a 3-web (1988) Aequationes Math., 35, pp. 31-44Nakajima, H., (1999) Lectures on Hilbert Schemes of Points on Surfaces, , American Mathematical Society, ProvidenceNitta, T., Vector bundles over quaternionic Kähler manifolds (1988) Tohoku Math. J., 40, pp. 425-440Salamon, S., Quaternionic Kähler manifolds (1982) Invent. Math., 67, pp. 143-171Tikhomirov, A.A., The main component of the moduli space of mathematical instanton vector bundles on P3 (1997) J. Math. Sci., 86, pp. 3004-3087Verbitsky, M., Hyperholomorphic bundles over a hyperkähler manifold (1996) J. Algebraic Geom., 5, pp. 633-669Verbitsky, M., Hypercomplex varieties (1999) Comm. Anal. Geom., 7, pp. 355-39
Classification of holomorphic Pfaff systems on Hopf manifolds
No full textWe classify holomorphic Pfaff systems (possibly non-locally decomposable) on certain Hopf manifolds. As a consequence, we prove some integrability results. We also prove that any holomorphic distribution on a general (non-resonance) Hopf manifold is integrable
Canonical Labeling of Sparse Random Graphs
No full textWe show that if p = O(1/n), then the Erdős-Rényi random graph G(n,p) with high probability admits a canonical labeling computable in time O(nlog n). Combined with the previous results on the canonization of random graphs, this implies that G(n,p) with high probability admits a polynomial-time canonical labeling whatever the edge probability function p. Our algorithm combines the standard color refinement routine with simple post-processing based on the classical linear-time tree canonization. Noteworthy, our analysis of how well color refinement performs in this setting allows us to complete the description of the automorphism group of the 2-core of G(n,p)
Supplementary code and data to paper "ESD Ideas: Propagation of high-frequency forcing to ice age dynamics"
No full text<p>This is the supplementary code and data for reproducing results as they are presented in Figures 1A-D of ESD paper by<br>
M.Y. Verbitsky, M. Crucifix, and D. M. Volobuev<br>
"ESD Ideas: Propagation of high-frequency forcing to ice age dynamics".</p>
<p>The code has been tested under MatLab R2015b. A script run_Fig[Figure number].m needs to be executed to reproduce a corresponding figure.</p>
<p>Orbit91.txt is insolation data adopted <br>
from Berger, A. and Loutre, M. F.: Insolation values for the climate of the last 10 million years, Quaternary Science Reviews, 10(4), 297-317, 1991</p>
Any Component Of Moduli Of Polarized Hyperkähler Manifolds Is Dense In Its Deformation Space
No full textLet M be a compact hyperkähler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in H2(M) defines a divisor Dv in W consisting of all algebraic manifolds polarized by v. We prove that every connected component of this divisor is dense in W. © 2013.1012188197Anan'in, S., Grossi, C.H., Coordinate-free classic geometries (2011) Mosc. Math. J., 11, pp. 633-655. , arxiv:math/0702714Beauville, A., Variétés Kähleriennes dont la première classe de Chern est nulle (1983) J. Differential Geom., 18 (4), pp. 755-782Besse, A.L., (1987) Einstein Manifolds, p. 516. , Springer-Verlag, Berlin, Heidelberg, New YorkBogomolov, F.A., On the decomposition of Kähler manifolds with trivial canonical class (1974) Math. USSR Sb., 22 (4), pp. 580-583Bogomolov, F.A., Hamiltonian Kähler manifolds (1978) Sov. Math. Dokl., 19, pp. 1462-1465Boucksom, S., Higher dimensional Zariski decompositions (2004) Ann. Sci. Ec. Norm. Super. (4), 37 (1), pp. 45-76. , arxiv:math/0204336Demailly, J.-P., Paun, M., Numerical characterization of the Kähler cone of a compact Kähler manifold (2004) Ann. of Math., 159, pp. 1247-1274. , arxiv:math/0105176Fujiki, A., On the de Rham cohomology group of a compact Kähler symplectic manifold (1987) Adv. Stud. Pure Math., 10, pp. 105-165Gritsenko, V., Hulek, K., Sankaran, G.K., Moduli spaces of irreducible symplectic manifolds (2010) Compos. Math., 146 (2), pp. 404-434. , arxiv:0802.2078Gritsenko, V., Hulek, K., Sankaran, G.K., Abelianisation of orthogonal groups and the fundamental group of modulae varieties, p. 21. , arxiv:0810.1614Huybrechts, D., Compact hyper-Kähler manifolds: basic results (1999) Invent. Math., 135 (1), pp. 63-113. , arxiv:alg-geom/9705025Huybrechts, D., Finiteness results for hyperkähler manifolds (2003) J. Reine Angew. Math., 558, pp. 15-22. , arxiv:math/0109024Kamenova, L., Verbitsky, M., Families of Lagrangian fibrations on hyperkaehler manifolds, p. 13. , arxiv:1208.4626Verbitsky, M., Algebraic structures on hyperkähler manifolds (1996) Math. Res. Lett., 3, pp. 763-767Verbitsky, M., Trianalytic subvarieties of hyperkaehler manifolds (1995) Geom. Funct. Anal., 5 (1), pp. 92-104Verbitsky, M., A global Torelli theorem for hyperkähler manifolds, p. 47. , arxiv:0908.4121Verbitsky, M., Hyperkähler SYZ conjecture and semipositive line bundles (2010) Geom. Funct. Anal., 19 (5), pp. 1481-1493. , arxiv:0811.0639Verbitsky, M., Parabolic nef currents on hyperkaehler manifolds, p. 19. , arxiv:0907.4217Vinberg, E.B., Gorbatsevich, V.V., Shvartsman, O.V., Discrete Subgroups of Lie Groups (2000) Encyclopaedia of Mathematical Sciences, 21, p. 224. , Springer-VerlagViehweg, E., Quasi-projective Moduli for Polarized Manifolds (1995) Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, 30 (BAND). , http://www.uni-due.de/~mat903/books.html, Springer-Verlag, Berlin, Heidelberg, New York, also available a
Shantytown Vistas and Immigrant Voices: Bernardo Verbitsky, Guaraní Language and the Art of Overcoming Peronism
No full textThis was an invited presentation at a conference of Indiana professors who specialize in research on Latin America. The conference was hosted by the Minority Languages and Literature program at Indiana University, Bloomington. I gave a version of what was then a forthcoming paper on Bernardo Verbitsky\u27s novel Villa Miseria también es América. The entire essay can be read at the following link: http://muse.jhu.edu/login?auth=0\u26type=summary\u26url=/journals/revista_de_estudios_hispanicos/v047/47.2.buttes.htm
Sup erlinear elliptic inequalities on manifolds
No full textGrigoryan A, Sun Y, Verbitsky I. Sup erlinear elliptic inequalities on manifolds. JOURNAL OF FUNCTIONAL ANALYSIS. 2020;278(9): UNSP 108444.Let M be a complete non-compact Riemannian manifold and let alpha be a Radon measure on M. We study the problem of existence or non-existence of positive solutions to a semilinear elliptic inequality Delta u >= sigma u(q) in M, where q > 1. We obtain necessary and sufficient criteria for existence of positive solutions in terms of Green function of A. In particular, explicit necessary and sufficient conditions are given when M has nonnegative Ricci curvature everywhere in M, or more generally when Green's function satisfies the 3G-inequality. (C) 2019 Elsevier Inc. All rights reserved
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