Results 1 to 10 of about 18,699 (193)
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
Quadratic algebras related to elliptic curves [PDF]
, 2007 We construct quadratic finite-dimensional Poisson algebras and their quantum versions related to rank N and degree one vector bundles over elliptic curves with n marked points. The algebras are parameterized by the moduli of curves.
Chernyakov, Yu. +3 more
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On automorphisms of moduli spaces of parabolic vector bundles [PDF]
, 2019 Fix $n\geq 5$ general points $p_1, \dots, p_n\in\mathbb{P}^1$, and a weight vector $\mathcal{A} = (a_{1}, \dots, a_{n})$ of real numbers $0 \leq a_{i} \leq 1$.
Araujo, Carolina +3 more
core +2 more sources
Moduli spaces of sheaves on K3 surfaces [PDF]
, 2016 In this survey article we describe moduli spaces of simple, stable, and semistable sheaves on K3 surfaces, following the work of Mukai, O'Grady, Huybrechts, Yoshioka, and others.
Sawon, Justin
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Revisiting the moduli space of semistable G-bundles over elliptic curves [PDF]
, 2020 We show that the moduli space of semistable G-bundles on an elliptic curve for a reductive group G is isomorphic to a power of the elliptic curve modulo a certain Weyl group which depend on the topological type of the bundle. This generalises a result of
Frăţilă, Dragoş
core +5 more sources
Quasi-modular forms attached to elliptic curves, I [PDF]
, 2011 In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies.
Movasati, Hossein
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Bundles of generalized theta functions over abelian surfaces [PDF]
, 2016 We study the bundles of generalized theta functions constructed from moduli spaces of sheaves over abelian surfaces. In degree 0, the splitting type of these bundles is expressed in terms of indecomposable semihomogeneous factors.
Oprea, Dragos
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Birational geometry of the moduli space of rank 2 parabolic vector bundles on a rational curve [PDF]
, 2015 We investigate the birational geometry (in the sense of Mori's program) of the moduli space of rank 2 semistable parabolic vector bundles on a rational curve.
Moon, Han-Bom, Yoo, Sang-Bum
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Geometric constraints in dual F-theory and heterotic string compactifications [PDF]
, 2014 We systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality.
Anderson, Lara B., Taylor, Washington
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P^r-scrolls arising from Brill-Noether theory and K3-surfaces
, 2010 In this paper we study examples of P^r-scrolls defined over primitively polarized K3 surfaces S of genus g, which arise from Brill-Noether theory of the general curve in the primitive linear system on S and from classical Lazarsfeld's results in.
Flamini, Flaminio
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