Progress in the theory of complex algebraic curves
From MaRDI portal
Publication:3481846
DOI10.1090/S0273-0979-1989-15807-2zbMath0703.14016OpenAlexW2013385060WikidataQ56592877 ScholiaQ56592877MaRDI QIDQ3481846
Publication date: 1989
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1989-15807-2
History of mathematics in the 20th century (01A60) Rational and unirational varieties (14M20) Families, moduli of curves (algebraic) (14H10) History of algebraic geometry (14-03)
Related Items
“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics, Generalized Weierstrass kernels on the intersection of two complex hypersurfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Picard groups of the moduli spaces of curves
- A simpler proof of the Gieseker-Petri theorem on special divisors
- The second homology group of the mapping class group of an orientable surface
- Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)
- On a set of equations characterizing Riemann matrices
- Slopes of effective divisors on the moduli space of stable curves
- Stable curves and special divisors: Petri's conjecture
- On the homology of the moduli space of stable curves
- Syzygies of canonical curves and special linear series
- Conjecture de Franchetta forte. (Strong Franchetta conjecture)
- On the projective normality of complete linear series on an algebraic curve
- On the Severi problem
- Limit linear series: Basic theory
- Existence, decomposition, and limits of certain Weierstrass points
- A numerical criterion for uniruledness
- Brill-Noether-Petri without degenerations
- Characterization of Jacobian varieties in terms of soliton equations
- Galois Weierstrass points and Hurwitz characters
- The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
- On nodal plane curves
- The Kodaira dimension of the moduli space of curves of genus 15
- On the variety of special linear systems on a general algebraic curve
- On the connectedness of degeneracy loci and special divisors
- On Petri's analysis of the linear system of quadrics through a canonical curve
- Prym varieties and Schottky problem
- On the Kodaira dimension of the moduli space of curves
- On the Kodaira dimension of the moduli space of Abelian varieties
- Another proof of the existence of special divisors
- On deformations of complex analytic structures. I
- On the theory of \(\vartheta\)-functions, the moduli of Abelian varieties, and the moduli of curves
- Compactification of arithmetic quotients of bounded symmetric domains
- The irreducibility of the space of curves of a given genus
- On boundaries of Teichmüller spaces and on Kleinian groups. I
- Arithmetic variety of moduli for genus two
- Compactifications of the Generalized Jacobian Variety
- ON THE TRANSCENDENTAL MODULI OF ALGEBRAIC RIEMANN SURFACES
- Le théorème de Riemann-Roch
- A few remarks about the variety of irreducible plane curves of given degree and genus
- A standard basis approach to syzygies of canonical curves.
- Genre des courbes de l'espace projectif. II
- Exceptional Weierstrass points and the divisor on moduli space that they define
- On Obtaining a Positive Line Bundle from the Weil-Petersson Class
- Compactifying the Picard Scheme II
- Discontinuous Groups and Riemann Surfaces (AM-79)
- On the Existence of Special Divisors
- Uniformization, Moduli, and Kleinian Groups†
