Homology of degenerate real projective quadrics
Mohamad Maassarani
TL;DR
This paper computes the rational and mod 2 homology of degenerate real projective quadrics, enabling the determination of their integer homology, extending previous work on non-degenerate cases.
Contribution
It provides the first explicit computation of the homology groups for degenerate real projective quadrics, including integer homology.
Findings
Rational homology of degenerate quadrics is determined.
Homology with Z/2Z coefficients is computed.
Integer homology of these quadrics is explicitly obtained.
Abstract
Homology of non degenerate real projective quadrics was studied by Steenrod and Tucker. We Compute the rational and the homology of degenerate real projective quadrics. This allows to determine the integer homology of these quadrics.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications