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Jorge Vitório Pereira
Jorge Vitório Pereira
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Over $\mathbb C$ at least, if Over $\mathbb C$ at least, If the surface is non-singular then a finite number of blow-ups at points suffices to resolve the linear system. Indeed any birational morphism between smooth surfaces is a finite composition of point blow-ups.

Over $\mathbb C$ at least, if the surface is non-singular then a finite number of blow-ups at points suffices to resolve the linear system. Indeed any birational morphism between smooth surfaces is a finite composition of point blow-ups.

Over $\mathbb C$ at least, If the surface is non-singular then a finite number of blow-ups at points suffices to resolve the linear system. Indeed any birational morphism between smooth surfaces is a finite composition of point blow-ups.

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Jorge Vitório Pereira
Jorge Vitório Pereira
  • 8.8k
  • 2
  • 38
  • 62

Over $\mathbb C$ at least, if the surface is non-singular then a finite number of blow-ups at points suffices to resolve the linear system. Indeed any birational morphism between smooth surfaces is a finite composition of point blow-ups.