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edit approved Mar 23, 2023 at 10:32
The Amplitwist
edit approved Mar 23, 2023 at 10:32
The Amplitwist
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The paper you want to have a look at is Thaddeus, GIT and Flips, http://www.jstor.org/pss/2152810GIT and Flips (JSTOR), or Dolgachev-Hu, Variation of GIT quotientsDolgachev–Hu, http://www.springerlink.com/content/3655664711102642/Variation of GIT quotients (Numdam).

There are finitely many polyhedral chambers within the space of possible linearizations. In the interior of each chamber, the sets $X^s$ and $X^{ss}$ are constant. Crossing a wall, these sets change; in nice situations, the two GIT quotient $X^{ss}/G$ on each side of the wall are related by a flip.

The paper you want to have a look at is Thaddeus, GIT and Flips, http://www.jstor.org/pss/2152810, or Dolgachev-Hu, Variation of GIT quotients, http://www.springerlink.com/content/3655664711102642/.

There are finitely many polyhedral chambers within the space of possible linearizations. In the interior of each chamber, the sets $X^s$ and $X^{ss}$ are constant. Crossing a wall, these sets change; in nice situations, the two GIT quotient $X^{ss}/G$ on each side of the wall are related by a flip.

The paper you want to have a look at is Thaddeus, GIT and Flips (JSTOR), or Dolgachev–Hu, Variation of GIT quotients (Numdam).

There are finitely many polyhedral chambers within the space of possible linearizations. In the interior of each chamber, the sets $X^s$ and $X^{ss}$ are constant. Crossing a wall, these sets change; in nice situations, the two GIT quotient $X^{ss}/G$ on each side of the wall are related by a flip.

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Arend Bayer
Arend Bayer
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The paper you want to have a look at is Thaddeus, GIT and Flips, http://www.jstor.org/pss/2152810, or Dolgachev-Hu, Variation of GIT quotients, http://www.springerlink.com/content/3655664711102642/.

There are finitely many polyhedral chambers within the space of possible linearizations. In the interior of each chamber, the sets $X^s$ and $X^{ss}$ are constant. Crossing a wall, these sets change; in nice situations, the two GIT quotient $X^{ss}/G$ on each side of the wall are related by a flip.