Using intersection theory: latex reproduction of 267

S Xambó Descamps - 2024 - upcommons.upc.edu
From the introduction:``The main goal of this work is to present, together with the basic
concepts of intersection theory, a number of concrete examples to illustrate several aspects …

Computing the characteristic numbers of the variety of nodal plane cubics in P3

X Hernández, JM Miret, S Xambó-Descamps - Journal of Symbolic …, 2007 - Elsevier
In this note we obtain, phrased in present day geometric and computational frameworks, the
characteristic numbers of the family Unod of non-degenerate nodal plane cubics in P3, first …

Rational equivalence on some families of plane curves

JM Miret, SX Descamps - Annales de l'institut Fourier, 1994 - numdam.org
For a given irreducible n-dimensional family C of plane curves of degree d, there is interest
in enumerative geometry to know the number of curves in C that satisfy n simple conditions …

Computing some fundamental numbers of the variety of nodal cubics in P3

JM Miret, J Pujolàs, K Saurav… - Journal of Symbolic …, 2009 - Elsevier
In this paper we obtain some fundamental numbers of the family Unod of non-degenerate
nodal cubics in P3 involving, in addition to the characteristic conditions, other fundamental …

Degree of strata of singular cubic surfaces

R Hernandez, M Vázquez-Gallo - Transactions of the American …, 2001 - ams.org
We determine the degree of some strata of singular cubic surfaces in the projective space
$\mathbf {P}^ 3$. These strata are subvarieties of the $\mathbf {P}^{19} $ parametrizing all …

On the enumeration of algebraic curves—from circles to instantons

R Piene - First European Congress of Mathematics Paris, July 6 …, 1994 - Springer
Enumerative geometry seeks to determine how many algebro-geometric objects of a given
type satisfy certain given conditions. Questions of this type have been posed by …

[PDF][PDF] On Calabi–Yau manifolds: bridging enumerative geometry and string theory

S Xambó - mat.upc.edu
The goal of the talk was to call attention to one of the recent interactions between geometry
and theoretical physics: ideas, results and problems pertaining to the enumerative geometry …

Surfaces in fibered in cubics

A Alzati, A Tortora - ANNALI DELL'UNIVERSITA'DI FERRARA, 2009 - Springer
Any algebraic surface in P^ n (C) which is fibered in cubics, so that the generic fibre is a
twisted cubic, gives rise to a curve Γ in a suitable compactification X of the space of smooth …

[PDF][PDF] Corrigendum to:“Computing the characteristic numbers of the variety of nodal plane cubics in P3”[J. Symbolic Comput. 42 (1–2)(2007) 192–202]

JM Miret, X Hernández… - Journal of Symbolic …, 2009 - mat.upc.edu
abstract The formula χ= 3µ− 3b+ 5ν in Corollary 2.2 in [Hernández, X., Miret, J., Xambó, S.,
2007. Computing the characteristic numbers of the variety of nodal plane cubics in P3 …

[PDF][PDF] JOSEP M. MIRET

SX DESCAMPS - Annales de l'institut Fourier, 1994 - researchgate.net
For a given irreducible n-dimensional family C of plane curves of degree d, there is interest
in enumerative geometry to know the number of curves in C that satisfy n simple conditions …