This article is cited in 3 scientific papers (total in 3 papers)
Automorphisms of threefolds that can be represented as an intersection of two quadrics
National Research University "Higher School of Economics" (HSE), Moscow
We prove that any $G$-del Pezzo threefold of degree $4$, except for a one-parameter family and four distinguished cases, can be equivariantly reconstructed to the projective space $\mathbb P^3$, a quadric $Q\subset\mathbb P^4$, a $G$-conic bundle or a del Pezzo fibration. We also show that one of these four distinguished varieties is birationally
rigid with respect to an index $2$ subgroup of its automorphism group.
Bibliography: 15 titles.
del Pezzo varieties, automorphism groups, birational rigidity.
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Sbornik: Mathematics, 2016, 207:3, 315–330
A. Avilov, “Automorphisms of threefolds that can be represented as an intersection of two quadrics”, Mat. Sb., 207:3 (2016), 3–18; Sb. Math., 207:3 (2016), 315–330
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\paper Automorphisms of threefolds that can be represented as an intersection of two quadrics
\jour Mat. Sb.
\jour Sb. Math.
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This publication is cited in the following articles:
A. Avilov, “Automorphisms of Singular Cubic Threefolds and the Cremona Group”, Math. Notes, 100:3 (2016), 482–485
A. Avilov, “Automorphisms of singular three-dimensional cubic hypersurfaces”, Eur. J. Math., 4:3 (2018), 761–777
A. Avilov, “Biregular and birational geometry of quartic double solids with 15 nodes”, Izv. Math., 83:3 (2019), 415–423
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