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The Euler number of a $C^*$-invariant subvariety in $P^n$

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arxiv 1710.07409 v1 pith:RFC65JVX submitted 2017-10-20 math.AG math.AT

classification math.AGmath.AT
keywords eulernumberprojectiveboundedcarrellconjecturedembeddedequivariantly
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abstract

In this note we show that the Euler number of a projective variety $C^*$-equivariantly embedded into a projective space $P^n$ is bounded by $n+1$, as conjectured by Carrell and Sommese.

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