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Elliptic curves on spinor varieties

Nicolas Perrin (2012)

Open Mathematics

We prove irreducibility of the scheme of morphisms, of degree large enough, from a smooth elliptic curve to spinor varieties. We give an explicit bound on the degree.

Enumeration of real conics and maximal configurations

Erwan Brugallé, Nicolas Puignau (2013)

Journal of the European Mathematical Society

We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in P n is maximal. That is, there exist generic configurations of real linear spaces such that all complex conics passing through these constraints are actually real.

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