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Homology of complex projective hypersurfaces with isolated singularities

Homology of complex projective hypersurfaces with isolated singularities

We use information concerning the homology of links and Milnor fibers at each singularity of a hypersurface <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper V overTilde"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mover> <mml:mi>V</mml:mi> <mml:mo stretchy="false">~</mml:mo> </mml:mover> </mml:mrow> <mml:annotation encoding="application/x-tex">\tilde V</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, of degree <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d"> <mml:semantics> <mml:mi>d</mml:mi> <mml:annotation encoding="application/x-tex">d</mml:annotation> …