Results 1 to 10 of about 494 (113)
Vector bundles on the moduli stack of elliptic curves
Journal of Algebra, 2015 26 ...
Lennart Meier
exaly +4 more sources
Vector Bundles Near Negative Curves: Moduli and Local Euler Characteristic [PDF]
Communications in Algebra, 2009 We study moduli spaces of vector bundles on a two-dimensional neighbourhood $Z_k$ of an irreducible curve $\ell = CP^1$ with $\ell^2 = -k$ and give an explicit construction of these moduli as stratified spaces. We give sharp bounds for the local holomorphic Euler characteristic of bundles on $Z_k$ and prove existence of families of bundles with ...
Edoardo Ballico, Elizabeth Gasparim
exaly +3 more sources
Moduli of vector bundles on curves with parabolic structures [PDF]
Mathematische Annalen, 1980 V B Mehta, C S Seshadri, Mehta V B
exaly +2 more sources
-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE
Journal of the Institute of Mathematics of Jussieu, 2023 AbstractIn this note, we prove that the moduli stack of vector bundles on a curve with a fixed determinant is ${\mathbb A}^1$ -connected. We obtain this result by classifying vector bundles on a curve up to ${\mathbb A}^1$ -concordance. Consequently, we classify ${\mathbb P}^n$ -bundles on a curve up to ${\mathbb A}^1$ -weak equivalence, extending ...
Amit Hogadi, Suraj Yadav
openaire +3 more sources
On the Voevodsky Motive of the Moduli Stack of Vector Bundles on a Curve [PDF]
The Quarterly Journal of Mathematics, 2020 AbstractWe define and study the motive of the moduli stack of vector bundles of fixed rank and degree over a smooth projective curve in Voevodsky’s category of motives. We prove that this motive can be written as a homotopy colimit of motives of smooth projective Quot schemes of torsion quotients of sums of line bundles on the curve.
Hoskins, V.A., Pepin Lehalleur, S.M.
openaire +4 more sources
Moduli of Vector Bundles on Curves in Positive Characteristics [PDF]
Compositio Mathematica, 2000 Let X be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli scheme of rank-2 bundles. We show that up to isomorphism, there is only one (up to tensoring by an
Joshi, Kirti, Xia, Eugene Z.
openaire +4 more sources
Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Forum of Mathematics, Sigma, 2023 Abstract We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize the semiorthogonal decomposition constructed by Narasimhan and Belmans-Mukhopadhyay.
Kyoung-Seog Lee, Han-Bom Moon
openaire +4 more sources
From infinity to four dimensions: higher residue pairings and Feynman integrals
Journal of High Energy Physics, 2020 We study a surprising phenomenon in which Feynman integrals in D = 4 − 2ε space-time dimensions as ε → 0 can be fully characterized by their behavior in the opposite limit, ε → ∞.
Sebastian Mizera, Andrzej Pokraka
doaj +1 more source
On vector bundles over moduli spaces trivial on Hecke curves [PDF]
Proceedings of the American Mathematical Society, 2021 Let M X ( r ,
Biswas, Indranil, Gomez, Tomas L.
openaire +4 more sources
Motives of moduli spaces of rank $ 3 $ vector bundles and Higgs bundles on a curve [PDF]
Electronic Research Archive, 2022 <abstract><p>We prove formulas for the rational Chow motives of moduli spaces of semistable vector bundles and Higgs bundles of rank $ 3 $ and coprime degree on a smooth projective curve. Our approach involves identifying criteria to lift identities in (a completion of) the Grothendieck group of effective Chow motives to isomorphisms in the
Fu, L., Hoskins, V.A., Lehalleur, S.P.
openaire +5 more sources