Results 21 to 30 of about 604 (63)
Minimal truncations of supersingular p-divisible groups
, 2006 Let k be an algebraically closed field of characteristic p>0. Let H be a supersingular p-divisible group over k of height 2d. We show that H is uniquely determined up to isomorphism by its truncation of level d (i.e., by H[p^d]).
Nicole, Marc-Hubert, Vasiu, Adrian
core +1 more source
Varieties of sums of powers and moduli spaces of (1,7)-polarized abelian surfaces
, 2017 We study the geometry of some varieties of sums of powers related to the Klein quartic. This allows us to describe the birational geometry of certain moduli spaces of abelian surfaces.
Bolognesi, Michele, Massarenti, Alex
core +2 more sources
Quotients of E^n by A_{n+1} and Calabi-Yau manifolds
, 2005 We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold self-product of E by a natural action of the alternating group A_{n+1} (in
CW Curtis +3 more
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The de Rham cohomology of the Suzuki curves
, 2018 For a natural number $m$, let $\mathcal{S}_m/\mathbb{F}_2$ be the $m$th Suzuki curve. We study the mod $2$ Dieudonn\'{e} module of $\mathcal{S}_m$, which gives the equivalent information as the Ekedahl-Oort type or the structure of the $2$-torsion group ...
Malmskog, Beth +2 more
core +1 more source
, 2008 The first part of the paper gives a new proof of self-duality for Selmer groups: if A is an abelian variety over a number field K, and F/K is a Galois extension with Galois group G, then the Q_pG-representation naturally associated to the p-infinity ...
Grothendieck +6 more
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Generic Newton polygons for curves of given p-rank [PDF]
, 2013 We survey results and open questions about the $p$-ranks and Newton polygons of Jacobians of curves in positive characteristic $p$. We prove some geometric results about the $p$-rank stratification of the moduli space of (hyperelliptic) curves.
Achter, Jeff, Pries, Rachel
core
Heuristics for the Brauer-Manin obstruction for curves
, 2005 We conjecture that if C is a curve of genus >1 over a number field k such that C(k) is empty, then a method of Scharaschkin (equivalent to the Brauer-Manin obstruction in the context of curves) supplies a proof that C(k) is empty. As evidence, we prove a
Poonen, Bjorn
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Ginsenoside Rh2 inhibits breast cancer cell growth via ERβ-TNFα pathway. [PDF]
Acta Biochim Biophys Sin (Shanghai), 2022 Peng K +11 more
europepmc +1 more source
The minimum and maximum number of rational points on jacobian surfaces over finite fields
, 2010 We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum number of rational points on jacobians varieties of dimension ...
Haloui, Safia
core +2 more sources