For a quartic double solid Z phi under right arrow P-3 we study the parameter space of conics (i.e. of smooth rational curves C subset of Z such that C.phi*O-P3(1) = 2) This parameter space is naturally fibred (with disconnected fibres) over P-3. We study the monodromy of the fibres and determine this way the irreducible components of the parameter space.
机构:
Konkuk Univ, Dept Math, 1 Hwayang Dong, Seoul 143701, South Korea
Konkuk Univ, Inst Math Sci, Seoul 143701, South KoreaKonkuk Univ, Dept Math, 1 Hwayang Dong, Seoul 143701, South Korea
机构:
Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
Ciliberto, Ciro
Zaidenberg, Mikhail
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机构:
Univ Grenoble Alpes, CNRS, IF, F-38000 Grenoble, FranceUniv Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy