Results 71 to 80 of about 407 (175)
Geometry of theta divisors --- a survey
, 2012 Final version; remark 6.5 on the non-basic codimension 5 stratum missed in our previous work ...
Grushevsky, Samuel, Hulek, Klaus
openaire +2 more sources
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Wild conductor exponents of curves
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
Rank of divisors on tropical curves [PDF]
, 2013 We investigate, using purely combinatorial methods, structural and algorithmic properties of linear equivalence classes of divisors on tropical curves.
Králʼ, Daniel +2 more
core +1 more source
2-torsion points on theta divisors [PDF]
, 2019 In this note we prove a sharp bound for the number of 2-torsion points on a theta divisor and show that this is achieved only in the case of products of elliptic curves.
Pareschi G. +3 more
core +1 more source
Torsion points on theta divisors
, 2015 Using the irreducibility of a natural irreducible representation of the theta group of an ample line bundle on an abelian variety, we derive a bound for the number of $n$-torsion points that lie on a given theta divisor. We present also two alternate approaches to attacking the case $n=2$.
Auffarth, Robert +3 more
openaire +2 more sources
Second order theta divisors on Pryms [PDF]
Bulletin de la Société mathématique de France, 1999 Van Geemen and van der Geer, Donagi, Beauville and Debarre proposed characterizations of the locus of jacobians which use the linear system of $2Θ$-divisors. We give new evidence for these conjectures in the case of Prym varieties.
openaire +3 more sources
Faltings height and Neron-Tate height of the theta divisor
, 2006 International audienceIn this paper we prove a formula relating the Faltings height of an abelian variety A over Q and the Neron-Tate height of a theta divisor on ...
Autissier, Pascal
core
The theta divisor of a jacobian variety and the decoding of geometric Goppa codes
, 1996 Pellikaan (1989) has given a noneffective maximal decoding algorithm of a geometric code. To this end, our purpose is the determination of the minimal integer s, such that the maps Ψsg − k (k = 1,2), defined in Pellikaan (1989), are surjective.
Henocq, Thierry, Rotillon, Denis
core +1 more source
Geometry of the theta divisor of a compactified jacobian
, 2009 The object of this paper is the theta divisor of the compactified jacobian of a nodal curve. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible stable curves is appended as an
CAPORASO, Lucia
core