SISSA Open Science

Browsing Preprints by Subject "MAT/03 GEOMETRIA"

Browsing Preprints by Subject "MAT/03 GEOMETRIA"

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  • Automorphisms of numerical Godeaux surfaces with torsion of order 3, 4, or 5 
    Maggiolo, Stefano (2010-02-18)
    We compute the automorphisms groups of all numerical Godeaux surfaces, i.e. minimal smooth surfaces of general type with K^2 = 1 and p_g = 0, with torsion of the Picard group of order \nu equals 3, 4, or 5. We present ...
  • The curvature: a variational approach 
    Agrachev, Andrei A.; Barilari, Davide; Rizzi, Luca (SISSA, 2013-06-22)
    The curvature discussed in this paper is a rather far going generalization of the Riemannian sectional curvature. We define it for a wide class of optimal control problems: a unified framework including geometric structures ...
  • Differential geometry of moduli spaces and its applications to soliton equations and to topological conformal field theory 
    Dubrovin, Boris (Scuola Normale Superiore di Pisa, 1991-11)
    We construct flat Riemannian metrics on moduli spaces of algebraic curves with marked meromorphic function. This gives a new class of exact algebraic-geometry solutions to certain non-linear equations in terms of functions ...
  • Geodesics and admissible-path spaces in Carnot Groups 
    Agrachev, Andrei A.; Gentile, A.; Lerario, Antonio (SISSA, 2013-11-26)
    We study the topology of admissible-loop spaces on a step-two Carnot group G. We use a Morse-Bott theory argument to study the structure and the number of geodesics on G connecting the origin with a 'vertical' point ...
  • Gromov-Witten theory of banded gerbes over schemes 
    Andreini, Elena; Jiang, Yunfeng; Tseng, Hsian-Hua (SISSA, 2011-01-31)
    Let $X$ be a smooth complex projective algebraic variety. Let $\mathcal{G}$ be a $G$-banded gerbe with $G$ a finite abelian group. We prove an exact formula expressing genus $g$ orbifold Gromov-Witten invariants of ...
  • Gromov-Witten theory of schemes in mixed characteristic 
    Poma, Flavia (SISSA, 2011-10-28)
    We define Gromov-Witten classes and invariants of smooth projective schemes of finite presentation over a Dedekind domain. We prove that they are deformation invariants and verify the fundamental axioms. For a smooth ...
  • Gromov-Witten theory of tame Deligne-Mumford stacks in mixed characteristic 
    Poma, Flavia (SISSA, 2012-10-08)
    We define Gromov-Witten classes and invariants of smooth proper tame Deligne-Mumford stacks of finite presentation over a Dedekind domain. We prove that they are deformation invariants and verify the fundamental axioms. ...
  • An irreducible symplectic orbifold of dimension 6 with a Lagrangian Prym fibration 
    Matteini, Tommaso (arXiV, 2014-03-21)
    A new example of an irreducible symplectic variety of dimension 6, with only finite quotient singularities, is described as a relative compactified Prymian of a family of genus 4 curves with involution. It is associated ...
  • Moduli space of pairs over projective stacks 
    Andreini, Elena (SISSA, 2011-05-27)
    Let $\clX$ a projective stack over an algebraically closed field $k$ of characteristic 0. Let $\clE$ be a generating sheaf over $\clX$ and $\clO_X(1)$ a polarization of its coarse moduli space $X$. We define a notion of ...
  • Monads for framed sheaves on Hirzebruch surfaces 
    Bartocci, Claudio; Bruzzo, Ugo; Rava, Claudio L.S. (2013)
    We define monads for framed torsion-free sheaves on Hirzebruch surfaces and use them to construct moduli spaces for these objects. These moduli spaces are smooth algebraic varieties, and we show that they are fine by ...
  • Quadratic cohomology 
    Agrachev, Andrei A. (SISSA, 2013-01-10)
    We study homological invariants of smooth families of real quadratic forms as a step towards a "Lagrange multipliers rule in the large" that intends to describe topology of smooth vector functions in terms of scalar ...

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