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Théorie des indices

Faure (1878)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Transfinite diameter on curves, Hankel determinants and the moment problem

Len Bos, Sione Ma'u (2015)

Banach Center Publications

We discuss problems on Hankel determinants and the classical moment problem related to and inspired by certain Vandermonde determinants for polynomial interpolation on (quadratic) algebraic curves in ℂ².

Une inégalité de Lojasiewicz effective

Pablo Solerno (1989)

Publications mathématiques et informatique de Rennes

Une version effective du théorème de Briançon-Skoda dans le cas algébrique discret

M. Elkadi (1994)

Acta Arithmetica

Unimodular rows over Laurent polynomial rings

Abdessalem Mnif, Morou Amidou (2022)

Czechoslovak Mathematical Journal

We prove that for any ring $𝐑$ of Krull dimension not greater than 1 and $n \geq 3$ , the group $E_{n} (𝐑 [X, X^{- 1}])$ acts transitively on ${Um}_{n} (𝐑 [X, X^{- 1}])$ . In particular, we obtain that for any ring $𝐑$ with Krull dimension not greater than 1, all finitely generated stably free modules over $𝐑 [X, X^{- 1}]$ are free. All the obtained results are proved constructively.

Uniqueness of Steiner laws on cubic curves.

Padmanabhan, R., McCune, W. (2006)

Beiträge zur Algebra und Geometrie

[unknown]

Lionel Darondeau (0)

Annales de l’institut Fourier

Values of polynomials with integer coefficients and distance to their common zeros

Francesco Amoroso (1994)

Acta Arithmetica

Visualization of simple algebro-geometric ideas

Aleksandar T. Lipkovski (2000)

Visual Mathematics

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...