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Welschinger invariants of small non-toric Del Pezzo surfaces

Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin (2013)

Journal of the European Mathematical Society

We give a recursive formula for purely real Welschinger invariants of the following real Del Pezzo surfaces: the projective plane blown up at $\sim q$ real and $s \leq 1$ pairs of conjugate imaginary points, where $q + 2 s \leq 5$ , and the real quadric blown up at $s \leq 1$ pairs of conjugate imaginary points and having non-empty real part. The formula is similar to Vakil’s recursive formula [22] for Gromov–Witten invariants of these surfaces and generalizes our recursive formula [12] for purely real Welschinger invariants of real toric...

When is a complex elliptic curve the product of two real algebraic curves?

J. Bochnak, J. Huisman (1992)

Mathematische Annalen

Whitney stratification of sets definable in the structure $ℝ_{e x p}$

Ta Loi (1996)

Banach Center Publications

The aim of this paper is to prove that every subset of $ℝ^{n}$ definable from addition, multiplication and exponentiation admits a stratification satisfying Whitney’s conditions a) and b).

Whitney triangulations of semialgebraic sets

Masahiro Shiota (2005)

Annales Polonici Mathematici

A compact semialgebraic set admits a semialgebraic triangulation such that the family of open simplexes forms a Whitney stratification and is compatible with a finite number of given semialgebraic subsets.

Witt groups of real projective surfaces.

R. Sujatha (1990)