A regularization theorem for bounded-degree self-maps
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DOI: 10.1007/s11425-024-2380-3
Abstract: We prove that over an algebraically closed field of arbitrary characteristic, a bounded-degree group of birational self-maps of an irreducible projective variety can be simultaneously regularized. In other words, there exists another projective variety that… read more here.
Keywords: degree self; theorem bounded; bounded degree; proof ... See more keywords
Self-homeomorphisms and Degree $$\pm \,1$$±1 Self-maps on Lens Spaces
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DOI: 10.1007/s41980-019-00235-1
Abstract: In this article, we give a sufficient and necessary condition to that a degree $$\pm \,1$$±1 self-map on a $$(2n-1)$$(2n-1)-dimensional lens space for $$n \ge 2$$n≥2 is homotopic to a self-homeomorphism. In fact, we show… read more here.
Keywords: self maps; lens spaces; homeomorphisms degree; self homeomorphisms ... See more keywords