164,969 research outputs found
A new unicity theorem and Erdos' problem for polarized semi-abelian varieties
No full textIn 1988 Erdös asked if the prime divisors of x n - 1 for all n = 1,2, determine the given integer x; the problem was affirmatively answered by Corrales-Rodrigáñez and Schoof (J Number Theory 64:276-290, 1997) [but a solution could also be deduced from an earlier result of Schinzel (Bull Acad Polon Sci 8:307-309, 2007)] together with its elliptic version. Analogously, Yamanoi (Forum Math 16:749-788, 2004) proved that the support of the pulled-back divisor f *D of an ample divisor on an abelian variety A by an algebraically non-degenerate entire holomorphic curve f:C → A essentially determines the pair (A, D). By making use of the main theorem of Noguchi (Forum Math 20:469-503, 2008) we here deal with this problem for semi-abelian varieties; namely, given two polarized semi-abelian varieties (A 1, D 1), (A 2, D 2) and algebraically non-degenerate entire holomorphic curves f i: C → A i, i = 1, 2,we classify the cases when the inclusion holds. We shall remark in §5 that these methods yield an affirmative answer to a question of Lang formulated in 1966. Our answer is more general and more geometric than the original question. Finally, we interpret the main result of Corvaja and Zannier (Invent Math 149:431-451, 2002) to provide an arithmetic counterpart in the toric case. © 2011 Springer-Verlag
Tent of Holofernes
No full textGeneral view; Isamu Noguchi originally created this form as a stage set for choreographer and dancer Martha Graham's 1950 production Judith . This sculpture is one of three bronze casts made from the balsawood original that appeared on stage. Graham's Judith was based on the biblical story of Judith and Holofernes. Source: J. Paul Getty Museum Collection [website]; http://www.getty.edu/art/ (accessed 6/11/2009
Art as Contemplative Place, with Reference to Isamu Noguchi's Sited Works
No full textThe term contemplative place, a new concept that forms the core of this research is defined as "space where a meaningful sense of calm can be experienced." Contemplative place situates itself as a category of place. M. Auge defines place as that which is "relational, historical and/or concerned with identity" (1995). For the artwork to be meaningful, it needs to be expressive and significant through its response to its physical, cultural, historical and/or social identity.
With reference to Isamu Noguchi's sited works, three projects are seen as representatively defining his career. They are The UNESCO Garden in France - Noguchi's early attempt at using the landscape as an art form; the California Scenario in the USA -a corporate park where Noguchi successfully creates a meaningful sense of place; and the Domon Ken Museum of Photography in Japan -a simple reductive approach that addresses its context on several levels.
Through the analysis and contextual isation of Noguchi's works, I begin to explore the strategic processes and principles that he used to make his works contemplative places. In my practice, I review and test evolving processes that incorporate the notions of place as well as my practice of meditation. Three case studies of past and current works are presented, each with a summary of analysis and a completed (or anticipated) experience. Then, through post-reflective thoughts, I begin to consolidate my own strategic processes and principles, and study how they have evolved and in some instances been influenced by Noguchi. As a final chapter, an evaluation addresses the similarities and differences between Noguchi's works and mine in achieving contemplative place.
The intention of this research is that the term contemplative place can be understood and evolve over time with future research. The strategic processes and principles used by Noguchi and those newly developed through my own practice could prove as useful examples to inspire new frontiers for creating contemplative places as art forms
Analytic and rational sections of relative semi-abelian varieties
No full textThe hyperbolicity statements for subvarieties and complement of hypersurfaces in abelian varieties admit arithmetic analogues, due to Faltings, Ann. Math. 133 (1991) (and for the semi-abelian case, Vojta, Invent. Math. 126 (1996); Amer. J. Math. 121 (1999)). In Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 29 (2018) by the second author, an analogy between the analytic and arithmetic theories was shown to hold also at proof level, namely in a proof of Raynaud’s theorem (Manin–Mumford Conjecture). The first aim of this paper is to extend to the relative setting the above mentioned hyperbolicity results. We shall be concerned with analytic sections of a relative (semi-)abelian scheme A → B over an affine algebraic curve B. These sections form a group; while the group of the rational sections (the Mordell–Weil group) has been widely studied, little investigation has been pursued so far on the group of the analytic sections. We take the opportunity of developing some basic structure of this apparently new theory, defining a notion of height or order functions for the analytic sections, by means of Nevanlinna theory
[Report to Chief J. E. Curry, by an unknown author #1]
No full textReport to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
[Report to Chief J. E. Curry, by an unknown author #2]
No full textReport to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney
Murder on the mountain: author talk with Peter J. Wosh
No full textAuthor talk by Peter J. Wosh on May 5th, 2022, on his book, "Murder on the Mountain: crime, passion, and punishment in gilded age New Jersey.
Mr. Melvin J. Collier, RWWL AUC, June 2011
No full textThis video is a conversation with Mr. Melvin J. Collier. Mr. Collier talks about his book, "From Mississippi to Africa: A Journey of Discovery". Daniel Le, AUC Woodruff Library, is the interviewer
Degeneracy of holomorphic curves into algebraic varieties
No full textAbstractApplying the Second Main Theorem of [J. Noguchi, J. Winkelmann, K. Yamanoi, The second main theorem for holomorphic curves into semi-Abelian varieties II, Forum Math., in press, e-print archive, math.CV/0405492], we deal with the algebraic degeneracy of entire holomorphic curves f:C→X from the complex plane C into a complex algebraic normal variety X of positive log Kodaira dimension that admits a finite proper morphism to a semi-Abelian variety. We will also discuss applications to the Kobayashi hyperbolicity problem
A Tripartite Post-Recession Rebalancing
No full textIn this latest Advance & Rutgers Report, entitled “A Tripartite Post-Recession Rebalancing,” Dean James W. Hughes and Professor Joseph J. Seneca deliver an incisive assessment of the current market conditions and obstacles in the path of our economic recovery. They offer a statistical cautionary tale that the private and public sector need to hear and acknowledge in order for the economy to make continued progress.This report was published as Issue Paper Number 7, November 2011, in Advance & Rutgers Report
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