Results 11 to 20 of about 161 (99)
Abelian Varieties, Theta Functions and the Fourier Transform [PDF]
, 2003 Presents a modern treatment of the theory of theta functions in the context of algebraic ...
Polishchuk, Alexander +1 more
openaire +3 more sources
Abelian functions associated with a cyclic tetragonal curve of genus six [PDF]
, 2009 We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y^4 = x^5 + λ[4]x^4 + λ[3]x^3 + λ[2]x^2 + λ[1]x + λ[0].
Eilbeck, J. C. +2 more
core +1 more source
Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
core +1 more source
Cyclic Isogenies for Abelian Varieties with Real Multiplication [PDF]
, 2022 International audienceWe study quotients of principally polarized abelian varieties with real multiplication by Galois-stable finite subgroups and describe when these quotients are principally polarizable.
Robert, Damien +3 more
core +2 more sources
Coherent State Transforms and Abelian Varieties [PDF]
, 2002 We extend the coherent state transform (CST) of Hall to the context of abelian varieties by considering them as quotients of the complexification of the abelian group K=U(1)g.
Nunes, João P. +2 more
core +1 more source
Level-Raising for GSp(4) [PDF]
, 2006 This thesis provides congruences between unstable and stable automorphic forms for the symplectic similitude group $GSp(4)$. More precisely, we raise the level of certain CAP representations $Pi$ of Saito-Kurokawa type, arising from classical modular ...
Sorensen, Claus Mazanti
core +1 more source
Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
core +1 more source
Computing isogenies between Abelian Varieties [PDF]
, 2012 47 pagesInternational audienceWe describe an efficient algorithm for the computation of isogenies between abelian varieties represented in the coordinate system provided by algebraic theta functions.
Robert, Damien, Lubicz, David
core +2 more sources
The Abelian-Nonabelian Correspondence for I-functions [PDF]
, 2022 We prove the abelian-nonabelian correspondence for quasimap I-functions. That is, if Z is an affine l.c.i. variety with an action by a complex reductive group G, we prove an explicit formula relating the quasimap I-functions of the GIT quotients $Z//_ ...
Webb, Rachel
core
A birational description of the minimal exponent
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source