Results 11 to 20 of about 10,730 (112)
Moduli Spaces of Fivebranes on Elliptic Calabi-Yau Threefolds [PDF]
, 1999 We present a general method for calculating the moduli spaces of fivebranes wrapped on holomorphic curves in elliptically fibered Calabi-Yau threefolds, in particular, in the context of heterotic M theory.
Donagi, Ron +2 more
core +4 more sources
Fibrations of low genus, I [PDF]
, 2006 In the present paper we consider fibrations $f: S \ra B$ of an algebraic surface onto a curve $B$, with general fibre a curve of genus $g$. Our main results are: 1) A structure theorem for such fibrations in the case $g=2$ 2) A structure theorem for ...
Catanese, Fabrizio, Pignatelli, Roberto
core +3 more sources
Riemann surfaces and Schrodinger potentials of gauged supergravity [PDF]
, 2000 Supersymmetric domain-wall solutions of maximal gauged supergravity are classified in 4, 5 and 7 dimensions in the presence of non-trivial scalar fields taking values in the coset SL(N, R)/SO(N) for N=8, 6 and 5 respectively.
Bakas, I., Brandhuber, A., Sfetsos, K.
core +2 more sources
Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves [PDF]
, 2015 We analyze Weierstrass cycles and tautological rings in moduli space of smooth algebraic curves and in moduli spaces of integral algebraic curves with embedded disks with special attention to moduli spaces of curves having genus $\leq 6$.
Liou, Jia-Ming +2 more
core +2 more sources
Skeletons of stable maps II: Superabundant geometries [PDF]
, 2017 We implement new techniques involving Artin fans to study the realizability of tropical stable maps in superabundant combinatorial types. Our approach is to understand the skeleton of a fundamental object in logarithmic Gromov--Witten theory -- the stack
Ranganathan, Dhruv
core +2 more sources
On the Severi problem in arbitrary characteristic [PDF]
, 2020 We show that Severi varieties parametrizing irreducible reduced planar curves of given degree and geometric genus are either empty or irreducible in any characteristic. As a consequence, we generalize Zariski's theorem to positive characteristic and show
Christ, Karl, He, Xiang, Tyomkin, Ilya
core +3 more sources
On some differential-geometric aspects of the Torelli map [PDF]
, 2018 In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside $\mathsf{A}_g$. We describe the second fundamental form of the Torelli map as a multiplication map, recall the relation between totally geodesic subvarieties and
A Mohajer +24 more
core +2 more sources
On the rational cohomology of moduli spaces of curves with level structures [PDF]
, 2011 We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine $H^k(\sgbar, \Q)$ for $g \ge 2$ and $k \le 3$, where $\sgbar$ denotes the moduli space of spin ...
Bini, Gilberto, Fontanari, Claudio
core +2 more sources
The geometry of some parameterizations and encodings [PDF]
, 2014 We explore parameterizations by radicals of low genera algebraic curves. We prove that for $q$ a prime power that is large enough and prime to $6$, a fixed positive proportion of all genus 2 curves over the field with $q$ elements can be parameterized by
Couveignes, Jean-Marc, Lercier, Reynald
core +4 more sources
The sixth Painleve transcendent and uniformization of algebraic curves [PDF]
, 2015 We exhibit a remarkable connection between sixth equation of Painleve list and infinite families of explicitly uniformizable algebraic curves. Fuchsian equations, congruences for group transformations, differential calculus of functions and differentials
Ablowitz +69 more
core +1 more source