The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
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Publication:1094490
DOI10.1007/BF01388710zbMath0631.14023WikidataQ105501214 ScholiaQ105501214MaRDI QIDQ1094490
Publication date: 1987
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143514
Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Divisors, linear systems, invertible sheaves (14C20)
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Cites Work
- Divisors on general curves and cuspidal rational curves
- The second homology group of the mapping class group of an orientable surface
- Representations of the symmetric group, the specialization order, systems and Grassmann manifolds
- Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)
- On the Kodaira dimension of the moduli space of curves. II: The even-genus case
- Chern numbers of kernel and cokernel bundles. Appendix to On the Kodaira dimension of the moduli space of curves. II. The even-genus case by J. Harris
- The moduli of curves is stably rational for g\(\leq 6\)
- Limit linear series: Basic theory
- When ramification points meet
- Existence, decomposition, and limits of certain Weierstrass points
- On the variety of special linear systems on a general algebraic curve
- On the Kodaira dimension of the moduli space of curves
- Hurwitz schemes and irreducibility of moduli of algebraic curves
- Arithmetic variety of moduli for genus two
- Irreducibility and monodromy of some families of linear series
- The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item