TITLE

# A GIT construction of moduli spaces of stable maps in positive characteristic

AUTHOR(S)
Baldwin, Elizabeth
PUB. DATE
August 2008
SOURCE
Journal of the London Mathematical Society;Aug2008, Vol. 78 Issue 1, p107
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
In a previous paper, the author and Swinarski constructed the moduli spaces of stable maps, â„³Ì„g, n(Pr, d) via geometric invariant theory (GIT). That paper required the base field to be the complex numbers, a restriction that this paper removes: here the coarse moduli spaces of stable maps are constructed via GIT over a more general base.
ACCESSION #
44398873

## Related Articles

• On the chromatic number of â„9. Kupavskii, A.; Raigorodskii, A. // Journal of Mathematical Sciences;Dec2009, Vol. 163 Issue 6, p720

In this work, the previous lower bound is considerably strengthened for the chromatic number of the nine-dimensional space.

• Representation of certain homogeneous Hilbertian operator spaces and applications. Junge, Marius; Xu, Quanhua // Inventiones Mathematicae;Jan2010, Vol. 179 Issue 1, p75

Following Grothendieckâ€™s characterization of Hilbert spaces we consider operator spaces F such that both F and F* completely embed into the dual of a C*-algebra. Due to Haagerup/Musatâ€™s improved version of Pisier/Shlyakhtenkoâ€™s Grothendieck inequality for operator spaces,...

• The diametral dimension of the spaces of Whitney jets on sequences of points. Goncharov, A.; Zeki, M. // Siberian Mathematical Journal;Mar2005, Vol. 46 Issue 2, p276

We calculate the diametral dimension of the spaces of Whitney jets on convergent sequences of points.

• LOCAL ACYCLIC FIBRATIONS AND THE DE RHAM COMPLEX. LEE, BEN // Homology, Homotopy & Applications;2009, Vol. 11 Issue 1, p115

We reinterpret algebraic de Rham cohomology for a possibly singular complex variety X as sheaf cohomology in the site of smooth schemes over X with Voevodsky's h-topology. Our results extend to the algebraic de Rham complex as well. Our main technique is to extend ÄŒech cohomology of...

• NÃ©ron Models of Formally Finite Type. Kappen, Christian // IMRN: International Mathematics Research Notices;Oct2013, Vol. 2013 Issue 22, p5059

We introduce NÃ©ron models of formally finite (ff) type for uniformly rigid spaces, thereby generalizing formal NÃ©ron models for rigid-analytic groups as they had been studied by Bosch and SchlÃ¶ter. As an application, we show that NÃ©ron models of ff type provide a link between the...

• Slope of a del Pezzo surface with du Val singularities. Won, Joonyeong // Bulletin of the London Mathematical Society;Apr2013, Vol. 45 Issue 2, p402

We classify all slope stabilities on a del Pezzo surface (S,âˆ’KS) with du Val singularities. As an application, we have new kinds of non-KÃ¤hlerâ€“Einstein surfaces.

• SOME EXAMPLES OF ALGEBRAIC GEODESICS ON QUADRICS. II. PERELOMOV, A. M. // Journal of Nonlinear Mathematical Physics (World Scientific Publ;Dec2010, Vol. 17 Issue 4, p423

In this note we give new examples of algebraic geodesics on some two-dimensional quadrics, namely, on ellipsoids, one-sheet hyperboloids, and hyperbolic paraboloids. It appears that in all considered cases, such geodesics are rational space curves.

• A vanishing result for Donaldson Thomas invariants of â„™ scroll. Chang, Huai // Acta Mathematica Sinica;Dec2014, Vol. 30 Issue 12, p2079

Let S be a smooth algebraic surface and let L be a line bundle on S. Suppose there is a holomorphic two form over S with zero loci to be a curve C. We show that the Donaldson-Thomas invariant of the â„™ scroll $X = P(L \oplus \mathcal{O}_S )$ vanishes unless the curves being enumerated lie...

• Algebraic Theories of Brackets and Related (Co)Homologies. Krasil'shchik, Iosif // Acta Applicandae Mathematica;Jan2010, Vol. 109 Issue 1, p137

A general theory of the FrÃ¶licherâ€“Nijenhuis and Schoutenâ€“Nijenhuis brackets in the category of modules over a commutative algebra is described. Some related structures and (co)homology invariants are discussed, as well as applications to geometry.

Share

## Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library