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aglearner
aglearner
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Let $H$ be a degree $d$ hypersurface in $\mathbb CP^n$ defined by an explicit equation $F=0$. Let $\varphi: \mathbb P^n \to \mathbb P^n$ be an explicit degree $m$ morphism. In this case $\varphi(H)$ is a degree $dm$$d^{n-1}m$ hypersurface. Is there an algorithm to calculate the coefficients of the degree $dm$$d^{n-1}m$ polynomial that defines this hypersuface?

Let $H$ be a degree $d$ hypersurface in $\mathbb CP^n$ defined by an explicit equation $F=0$. Let $\varphi: \mathbb P^n \to \mathbb P^n$ be an explicit degree $m$ morphism. In this case $\varphi(H)$ is a degree $dm$ hypersurface. Is there an algorithm to calculate the coefficients of the degree $dm$ polynomial that defines this hypersuface?

Let $H$ be a degree $d$ hypersurface in $\mathbb CP^n$ defined by an explicit equation $F=0$. Let $\varphi: \mathbb P^n \to \mathbb P^n$ be an explicit degree $m$ morphism. In this case $\varphi(H)$ is a degree $d^{n-1}m$ hypersurface. Is there an algorithm to calculate the coefficients of the degree $d^{n-1}m$ polynomial that defines this hypersuface?

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agt
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Image of a hypersurface under a map $\mathbb CP^n\to mathbb\mathbb CP^n$

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aglearner
aglearner
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Image of a hypersurface under a map $\mathbb CP^n\to mathbb CP^n$

Let $H$ be a degree $d$ hypersurface in $\mathbb CP^n$ defined by an explicit equation $F=0$. Let $\varphi: \mathbb P^n \to \mathbb P^n$ be an explicit degree $m$ morphism. In this case $\varphi(H)$ is a degree $dm$ hypersurface. Is there an algorithm to calculate the coefficients of the degree $dm$ polynomial that defines this hypersuface?