Hamiltonian pseudo-rotations of projective spaces
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DOI: 10.1007/s00222-018-0818-9
Abstract: The main theme of the paper is the dynamics of Hamiltonian diffeomorphisms of $$\mathbb {C}{\mathbb {P}}^n$$CPn with the minimal possible number of periodic points (equal to $$n+1$$n+1 by Arnold’s conjecture), called here Hamiltonian pseudo-rotations. We… read more here.
Keywords: pseudo; hamiltonian pseudo; pseudo rotations; rotations projective ... See more keywords
Vanishing Ideals of Projective Spaces over Finite Fields and a Projective Footprint Bound
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DOI: 10.1007/s10114-018-8024-7
Abstract: We consider the vanishing ideal of a projective space over a finite field. An explicit set of generators for this ideal has been given by Mercier and Rolland. We show that these generators form a… read more here.
Keywords: ideals projective; finite fields; footprint bound; vanishing ideals ... See more keywords
Homotopies of maps of suspended real and complex projective spaces and their cohomotopy groups
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DOI: 10.1016/j.topol.2020.107553
Abstract: Abstract We describe the set [ X , Y ] of path-components of pointed mapping spaces M ⁎ ( X , Y ) , where X is chosen to be the reduced kth suspension E… read more here.
Keywords: homotopies maps; projective spaces; suspended real; maps suspended ... See more keywords
CHARACTERIZATION OF PROJECTIVE SPACES AND $\mathbb{P}^{r}$ -BUNDLES AS AMPLE DIVISORS
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DOI: 10.1017/nmj.2017.31
Abstract: Let $X$ be a projective manifold of dimension $n$ . Suppose that $T_{X}$ contains an ample subsheaf. We show that $X$ is isomorphic to $\mathbb{P}^{n}$ . As an application, we derive the classification of projective… read more here.
Keywords: bundles ample; spaces mathbb; ample divisors; characterization projective ... See more keywords
Stable Rationality of Cyclic Covers of Projective Spaces
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DOI: 10.1017/s0013091518000755
Abstract: Abstract The main aim of this paper is to show that a cyclic cover of ℙn branched along a very general divisor of degree d is not stably rational, provided that n ≥ 3 and… read more here.
Keywords: rationality cyclic; cyclic covers; projective spaces; covers projective ... See more keywords
Higher codimensional alpha invariants and characterization of projective spaces
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DOI: 10.1142/s0129167x20500123
Abstract: We generalize the definition of alpha invariant to arbitrary codimension. We also give a lower bound of these alpha invariants for K-semistable [Formula: see text]-Fano varieties and show that we can characterize projective spaces among… read more here.
Keywords: alpha; characterization projective; projective spaces; codimensional alpha ... See more keywords