[图书][B] Singularities, algebraic geometry, commutative algebra, and related topics

GM Greuel, L Naráivez-Macarro, S Xambó-Descamps - 2018 - Springer
The decision to prepare a volume of contributions in honor of Antonio Campillo was taken at
the University of Valladolid (Spain) during 19–23 June 2017 on the occasion of the 4th Joint …

Plane curves of minimal degree with prescribed singularities

GM Greuel, C Lossen, E Shustin - arXiv preprint alg-geom/9704010, 1997 - arxiv.org
We prove that there exists a> 0 such that for any integer d> 2 and any topological types
S_1,..., S_n of plane curve singularities, satisfying $\mu (S_1)+...+\mu (S_n)\leq ad^ 2 …

Welschinger invariants of real del Pezzo surfaces of degree≥ 2

I Itenberg, V Kharlamov, E Shustin - International Journal of …, 2015 - World Scientific
We compute the purely real Welschinger invariants, both original and modified, for all real
del Pezzo surfaces of degree≥ 2. We show that under some conditions, for such a surface X …

Welschinger invariants of real Del Pezzo surfaces of degree≥ 3

I Itenberg, V Kharlamov, E Shustin - Mathematische Annalen, 2013 - Springer
We give a recursive formula for purely real Welschinger invariants of real Del Pezzo
surfaces of degree K 2≥ 3, where in the case of surfaces of degree 3 with two real …

Nonemptiness of Severi varieties on Enriques surfaces

C Ciliberto, T Dedieu, C Galati… - Forum of Mathematics …, 2023 - cambridge.org
Let be a general polarised Enriques surface, with L not numerically 2-divisible. We prove the
existence of regular components of all Severi varieties of irreducible nodal curves in the …

[HTML][HTML] The moduli of singular curves on K3 surfaces

M Kemeny - Journal de mathematiques pures et appliquees, 2015 - Elsevier
In this article we consider moduli properties of singular curves on K3 surfaces. Let B g
denote the stack of primitively polarized K3 surfaces (X, L) of genus g and let T g, kn→ B g …

Braid monodromy of algebraic curves

JI Cogolludo-Agustín - Annales mathématiques Blaise Pascal, 2011 - numdam.org
These are the notes from a one-week course on Braid Monodromy of Algebraic Curves
given at the Université de Pau et des Pays de l'Adour during the Première Ecole Franco …

Castelnuovo function, zero-dimensional schemes and singular plane curves

GM Greuel, C Lossen, E Shustin - arXiv preprint math/9903179, 1999 - arxiv.org
We study families V of curves in P^ 2 of degree d having exactly r singular points of given
topological or analytic types. We derive new sufficient conditions for V to be T-smooth …

Welschinger invariants of small non-toric Del Pezzo surfaces

I Itenberg, V Kharlamov, E Shustin - Journal of the European …, 2013 - ems.press
Welschinger invariants of small non-toric Del Pezzo surfaces Page 1 DOI 10.4171/JEMS/367 J.
Eur. Math. Soc. 15, 539–594 c European Mathematical Society 2013 Ilia Itenberg · Viatcheslav …

On higher genus Welschinger invariants of del Pezzo surfaces

E Shustin - International Mathematics Research Notices, 2015 - academic.oup.com
The Welschinger invariants of real rational algebraic surfaces count real rational curves that
represent a given divisor class and pass through a generic conjugation-invariant …