2,639 research outputs found
Rational points on 3‐folds with nef anti‐canonical class over finite fields
No full textWe prove that a geometrically integral smooth 3-fold X with nef anti-canonical class and negative Kodaira dimension over a finite field Fq of characteristic p>5 and cardinality q=pe>19 has a rational point. Additionally, under the same assumptions on p and q, we show that a 3-fold X with trivial canonical class and non-zero first Betti number b1(X)≠0 has a rational point. Our techniques rely on the Minimal Model Program to establish several structure results for generalized log Calabi--Yau 3-fold pairs over perfect fields
On the connectedness principle and dual complexes for generalized pairs
No full textLet be a pair, and let be a contraction
with nef over . A conjecture, known as the Shokurov-Koll\'{a}r
connectedness principle, predicts that has
at most two connected components, where is an arbitrary schematic
point and denotes the non-klt locus of . In this
work, we prove this conjecture, characterizing those cases in which
fails to be connected, and we extend these same results
also to the category of generalized pairs. Finally, we apply these results and
the techniques to the study of the dual complex for generalized log Calabi-Yau
pairs, generalizing results of Koll\'{a}r-Xu and Nakamura.Comment: Final version, to appear in "Forum of Mathematics, Sigma
Boundedness of elliptic Calabi-Yau threefolds
No full textWe show that elliptic Calabi--Yau threefolds form a bounded family. We also
show that the same result holds for minimal terminal threefolds of Kodaira
dimension 2, upon fixing the rate of growth of pluricanonical forms and the
degree of a multisection of the Iitaka fibration. Both of these hypotheses are
necessary to prove the boundedness of such a family.Comment: Final version, to appear in J. Eur. Math. Soc. (JEMS
Arithmetic and geometric deformations of 3-folds
No full textWe show that mixed-characteristic and equi-characteristic small deformations
of 3-dimensional canonical (resp. terminal) singularities with perfect residue
field of characteristic are canonical (resp. terminal). We discuss
applications to arithmetic and geometric families of 3-dimensional Fano
varieties and minimal models with canonical singularities. Our results are
contingent upon the existence of log resolutions of 4-folds.Comment: v3: 19 pages, minor corrections. To appear in Bull. London Math. So
The Jordan property for local fundamental groups
No full textWe show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index 1 covers for n-dimensional klt singularities. We give an application to the study of local class groups of klt singularities
Who is the author of the 1876 Stefano manuscript?
No full textFor over one hundred years the Stefano manuscript was a private document in the possession of the Baccich family and descendants. It told a story of the 1875 Stefano shipwreck as narrated by the shipwreck survivor and the founding family patriarch Miho Baccich. In these circumstances the question of authorship of the manuscript was immaterial and did not arise as an issue. However, with the publication of the manuscript the author‟s name, or names, need to be formally attributed to it. It turns out that this is not such a clear-cut matter.
As we shall see, all informed sources attributed the authorship, and the ownership, of the manuscript to Miho Baccich. But the manuscript itself was written by Canon Stjepan Skurla – a priest from Miho‟s hometown of Dubrovnik. The question then arises: should Skurla also be considered as an author of the manuscript, or, even as the sole author (as some would have it)
Fashion Culture: Power In Fashion with Stefano Tonchi and Grazia d'Annunzio
No full textStefano Tonchi, global chief creative officer for L’Officiel Group, and Grazia d’Annunzio, former deputy director of Vogue Italia, discuss the power of military uniforms and their influence on high fashion. Tonchi is co-author of the book "Uniform: Order and Disorder.
Introduzione [a I cartolari del notaio Stefano di Corrado di Lavagna]
No full textSaggio introduttivo all’edizione dei frammenti dei protocolli del notaio Stefano di Corrado di Lavagna nel quale viene fatta l’analisi codicologica dei frammenti e si ricostruisce la biografia del notaio. Vengono inoltre esaminate la tipologia dei documenti, le tecniche redazionali del notaio e l’organizzazione burocratica della Chiesa genovese nella seconda metà del secolo XIII.
Introduction essay to the edition of the fragments of the protocols of the notary Stefano di Corrado of Lavagna in which the analysis of the codex fragments and reconstructs the biography of the notary is made by the author. She also examined the types of documents, the technical drafting of the notary and the bureaucratic organization of the Church of Genoa in the second half of the thirteenth century
From Lausanne to Luxembourg: the CJEU’s Seraing Judgment and the Boundaries of Sports Arbitration Under EU Law
No full textIn this expert analysis, Professor Stefano Bastianon dissects the CJEU’s landmark Seraing ruling (Case C-600/23), which reshapes the contours of sports arbitration under EU law. With particular focus on judicial review and EU public policy, the author explores how the Court balances the autonomy of arbitral mechanisms like CAS with the imperative of effective judicial protection — a judgment that could have far-reaching implications for the future of dispute resolution in sport
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