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LOGARITHMIC HEAT PROJECTIVE OPERATORS
- Source :
- Communications in Algebra. 33:425-454
- Publication Year :
- 2005
- Publisher :
- Informa UK Limited, 2005.
-
Abstract
- Let $f:\Cal C\to S$ be a flat family of curves over a smooth curve $S$ such that $f$ is smooth over $S_0=S\ssm\{s_0\}$ and $f^{-1}(s_0)=\Cal C_0$ is irreducible with one node. We have an associated family $\Cal M_{S_0}\to S_0$ of moduli spaces of semistable vector bundles and the relative theta line bundle $\Theta_{S_0}$. We are interested in the problem: to find suitable degeneration $\Cal M_S$ of moduli spaces and extension $\Theta_S$ of theta line bundles such that the direct image of $\Theta_S$ is a vector bundle on $S$ with a logarithmic projective connection. In this paper, we figured out the conditions of existence of the connection and solved the problem for rank one.<br />Comment: 26 pages, amstex
- Subjects :
- Constant coefficients
Algebra and Number Theory
Nuclear Theory
Mathematical analysis
Theta function
Spectral theorem
Operator theory
Differential operator
Fourier integral operator
Mathematics - Algebraic Geometry
Mathematics::Algebraic Geometry
FOS: Mathematics
Heat equation
Physics::Atomic Physics
Algebraic Geometry (math.AG)
Mathematics
Logarithmic form
Subjects
Details
- ISSN :
- 15324125 and 00927872
- Volume :
- 33
- Database :
- OpenAIRE
- Journal :
- Communications in Algebra
- Accession number :
- edsair.doi.dedup.....6e920ac3c89b83d5e05802edfa100159
- Full Text :
- https://doi.org/10.1081/agb-200047410