Irreducibility and monodromy of some families of linear series
From MaRDI portal
Publication:3027135
DOI10.24033/asens.1524zbMath0625.14013OpenAlexW1521186442MaRDI QIDQ3027135
Publication date: 1987
Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_1987_4_20_1_65_0
Families, moduli of curves (algebraic) (14H10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Divisors, linear systems, invertible sheaves (14C20)
Related Items
The Kodaira dimension of the moduli space of curves of genus \(\geq 23\), On the Hilbert scheme of smooth curves in ℙ4 of degree d = g + 1 and genus g with negative Brill–Noether number, Varieties of cuspidal curves in \({\mathbb{P}}^ r\), Interpolation for Brill–Noether curves, Solution of a combinatorially formulated monodromy problem of Eisenbud and Harris, Recent trends in algebraic geometry. Abstracts from the workshop held June 18--23, 2023, On the projective normality of line bundles of extremal degree, Geometry of curves with exceptional secant planes: Linear series along the general curve, Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting), Limit linear series and ranks of multiplication maps, Catalan-many tropical morphisms to trees. Part I: Constructions, On the existence of components of the Noether-Lefschetz locus with given codimension, The Monodromy of Certain Families of Linear Series is at Least the Alternating Group, On the Wahl map of curves with Brill-Noether-Petri condition, \({\mathbb P^r}\)-scrolls arising from Brill-Noether theory and \(K3\)-surfaces, Irreducibility of some families of linear series with Brill-Noether number. I, Irreducibility of moduli space of harmonic 2-spheres in S4, The multiplication map for global sections of line bundles and rank 1 torsion free sheaves on curves, On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^4\) of degree \(d = g+1\) and genus \(g\), Reconstructing pluricanonical embeddings of general \(k\)-gonal curves via odd theta-characteristics, Components of the Hilbert scheme of smooth space curves with the expected number of moduli, On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) of relatively high degree, A Brill-Noether theory for \(k\)-gonal nodal curves, The dimension of the moduli space of superminimal surfaces of a fixed degree and conformal structure in the 4-sphere
Cites Work
- Unnamed Item
- Unnamed Item
- Divisors on general curves and cuspidal rational curves
- A simpler proof of the Gieseker-Petri theorem on special divisors
- Stable curves and special divisors: Petri's conjecture
- Limit linear series: Basic theory
- Galois groups of enumerative problems
- On the variety of special linear systems on a general algebraic curve
- On the connectedness of degeneracy loci and special divisors
- On the Kodaira dimension of the moduli space of curves
- Solution of a combinatorially formulated monodromy problem of Eisenbud and Harris
