✦ LIBER ✦

Nodal cubic surfaces and the rationality of the moduli space of curves of genus two

✍ Scribed by Fabio Bardelli; Andrea Del Centina

Publisher: Springer
Year: 1985
Tongue: English
Weight: 182 KB
Volume: 270
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01455306

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Genus of the intersection curve of two r

Genus of the intersection curve of two rational surface patches

✍ Sheldon Katz; Thomas W. Sederberg 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 450 KB

Explicit complete curves in the moduli s

Explicit complete curves in the moduli space of curves of genus three

✍ Chris Zaal 📂 Article 📅 1995 🏛 Springer 🌐 English ⚖ 725 KB

Unirationality of the moduli spaces of c

Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)

✍ M. -C. Chang; Z. Ran 📂 Article 📅 1984 🏛 Springer-Verlag 🌐 English ⚖ 678 KB

Bounds for the Genus of Space Curves

✍ Valentina Beorchia 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 537 KB

## Abstract We compute the following upper bounds for the maximal arithmetic genus __P~a~(d,t__) over all locally Cohen ‐ Macaulay space curves of degree __d__, which are not contained in a surface of degree magnified image These bounds are sharp for t ≤ 4 abd any d ≥ t.

Determination of All Q-Rational CM-Point

Determination of All Q-Rational CM-Points in the Moduli Space of Principally Polarized Abelian Surfaces

✍ Naoki Murabayashi; Atsuki Umegaki 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 77 KB

It is known that in the moduli space A A of elliptic curves, there exist precisely 9 1 ‫-ޑ‬rational points corresponding to the isomorphism class of elliptic curves with complex multiplication by the ring of algebraic integers of a principal imaginary quadratic number field. Here, we prove that in t

An integrable system on the moduli space

An integrable system on the moduli space of rational functions and its variants

✍ Kanehisa Takasaki; Takashi Takebe 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 155 KB

We study several integrable Hamiltonian systems on the moduli spaces of meromorphic functions on Riemann surfaces (the Riemann sphere, a cylinder and a torus). The action-angle variables and the separated variables (in Sklyanin's sense) are related via a canonical transformation, the generating func