Deformations of Hyperelliptic and Generalized Hyperelliptic Polarized Varieties
Deformations of Hyperelliptic and Generalized Hyperelliptic Polarized Varieties
Abstract The purpose of this article is twofold. Firstly, we address and completely solve the following question: Let ( X , L ) be a smooth, hyperelliptic polarized variety and let $$\varphi : X \longrightarrow Y \subset \textbf{P}^N$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>φ</mml:mi> <mml:mo>:</mml:mo> <mml:mi>X</mml:mi> <mml:mo>⟶</mml:mo> <mml:mi>Y</mml:mi> <mml:mo>⊂</mml:mo> <mml:msup> <mml:mi>P</mml:mi> <mml:mi>N</mml:mi> …