On the existence of certain families of curves

DOI10.1007/BF01403088zbMath0541.14024OpenAlexW2003689784MaRDI QIDQ794721

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143086

zbMATH Keywords

moduli space of curves Hilbert-scheme

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10)

Related Items

Moduli of nodal curves on smooth surfaces of general type ⋮ On the maximal rank of a general union of a multiple linear space and a general rational curve ⋮ On the existence of components of the hilbert scheme with the expected number of moduli. II ⋮ Limit linear series: Basic theory ⋮ Globally generated vector bundles on P3 and the unirationality of Mg, g≤13 ⋮ L'existence de certaines spécialisations de courbes projective ⋮ On the restriction of vector bundles to good families of curves ⋮ The maximal rank conjecture for non-special curves in ${\mathbb{P}}^ n$ ⋮ Regular components of moduli spaces of stable maps ⋮ On families of rational curves in the Hilbert square of a surface ⋮ Existence de faisceaux réflexifs de rang deux sur ${\mathbb{P}}^ 3$ à bonne cohomologie. (Existence of reflexive sheaves of rank two on ${\mathbb{P}}^ 3$ with good homology) ⋮ Curves in ${\mathbb{P}}^ 3$ whose ideals are simple in a certain numerical sense ⋮ On the minimal free resolution of general $k$-gonal curves ⋮ Families of curves with ordinary singular points on regular surfaces ⋮ Varieties of cuspidal curves in ${\mathbb{P}}^ r$ ⋮ The maximal genus of space curves in the range A ⋮ Minimal resolutions, Chow forms and Ulrich bundles on $K3$ surfaces ⋮ Some good unirational families of space curves ⋮ Smooth curves whose hyperplane section is a given set of points ⋮ Embeddings of general curves in projective spaces: the range of the quadrics ⋮ Existence and reducibility of the Hilbert scheme of smooth and linearly normal curves in $\mathbb{P}^r$ of relatively high degrees ⋮ Good components of curves in projective spaces outside the Brill–Noether range ⋮ Constructing reducible Brill-Noether curves. II ⋮ Intersection Cohomology and Severi Varieties ⋮ On Some Components of Hilbert Schemes of Curves ⋮ On the Irreducibility of the Hilbert Scheme of Curves inℙ⁵ ⋮ Le problème de Brill-Noether pour les idéaux de ${P}\sp 2$ ⋮ Linear series with $\rho<0$ via thrifty Lego building ⋮ On bundles of rank 3 computing Clifford indices ⋮ The gonality of general smooth curves with a prescribed plane nodal model ⋮ On the existence of components of the Hilbert scheme with the expected number of moduli ⋮ On equations defining arithmetically Cohen-Macaulay schemes. III ⋮ Courbes passant par $m$ points généraux de $P\sp 3$ ⋮ Life and death of a cohomology class ⋮ Components of the Hilbert scheme of smooth projective curves using ruled surfaces ⋮ A remark on Weierstrass points and linear series on multiple covering curves ⋮ Severi varieties and Brill-Noether theory of curves on abelian surfaces ⋮ Components of moduli spaces of spin curves with the expected codimension ⋮ Space curves with a prescribed index of regularity ⋮ Unnamed Item ⋮ SOME RESULTS OF REGULARITY FOR SEVERI VARIETIES OF PROJECTIVE SURFACES ⋮ Reducibility of the Hilbert scheme of smooth curves and families of double covers ⋮ Regular components of moduli spaces of stable maps and $k$-gonal curves ⋮ Maximal rank of space curves in the range A ⋮ Families of nodal curves in $\mathbb {P}^r$ with the expected number of moduli ⋮ On the variety of rational space curves ⋮ A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves ⋮ Normally generated line bundles on general curves. II ⋮ The multiplication map for global sections of line bundles and rank 1 torsion free sheaves on curves ⋮ On special linear systems on curves ⋮ Construction of space curves with good properties ⋮ Families of nodal curves on projective threefolds and their regularity via postulation of nodes ⋮ On the number of moduli of plane sextics with six cusps ⋮ A Vanishing Theorem for the Twisted Normal Bundle of Curves in , ⋮ Curves on Segre threefolds ⋮ On the homogeneous ideal of projectively normal curves ⋮ Unnamed Item ⋮ Irreducibility and components rigid in moduli of the Hilbert scheme of smooth curves ⋮ The maximal rank conjecture for non special curves in ${\mathbb{P}}^ 3$ ⋮ On general k-gonal algebraic curves ⋮ Weierstrass multiple points on algebraic curves and ramified coverings ⋮ Components of the Hilbert scheme of smooth space curves with the expected number of moduli ⋮ Arithmetically Cohen Macaulay embeddings of reducible curves ⋮ On postulation of curves in ${\mathbb{P}}^4$ ⋮ On postulation of curves: Embeddings by complete linear series ⋮ Unirationality of the moduli spaces of curves of genus 11, 13 (and 12) ⋮ Constructing reducible Brill-Noether curves ⋮ Smoothing Curves by Reflexive Sheaves ⋮ Generators for the defining ideal of certain rational surfaces ⋮ Postulation of a general union of an $m$-point and a general smooth rational curve ⋮ Products of homogeneous forms

Cites Work

This page was built for publication: On the existence of certain families of curves