Chapter 413

Chapter 416

late at night, walking on the campus path which is still bright under the light, Cheng Nuo smashed his mouth and felt a little depressed.

It's not fun!

Just immersed in the sea of mathematical formulas, he did not notice the passage of time, so that he was awakened by the coffee shop owner when he closed the door.

But the aftertaste, that kind of selfless feeling is still very cool. Moreover, the work efficiency has also increased by 45% than usual.

Cheng Nuo, who is impatient, hurried back to his apartment. He Youjun, who is sitting on the sofa in the living room and watches TV, has no time to say hello. He takes a bucket of instant noodles and goes directly into the bedroom to close the door.

It's not easy to enter the realm of selflessness. While still feeling a little bit, Cheng Nuo is naturally seizing all the time to work with the highest efficiency.

The three professors in Princeton don't have a gas-efficient lamp.

With hot instant noodles, Cheng Nuo began his night owl life.

…………

Three days later.

In the glare of the morning sun, Cheng Nuo finished the last mouthful of soup in the instant noodle bucket, packed all the data of the first task into a document and sent it to the chat group of the research group.

Tom MIT: "I've finished the work on converting topological counts into pure geometry, and three of you can check it out. @Princeton Bourne @ Princeton Miller @ Princeton hatch. "

It's only about six o'clock in the morning. Cheng thinks that Professor Bowen and the three of them should not wake up at this time, so he plans to make up for a sleep and then check the responses of several people.

But did not expect, Cheng Nuo's message just sent out a few seconds, the whole chat group inside the message on the drip ring.

"Princeton Bourne upload a file"!

"Princeton Miller upload a file"!

"Princeton hatch upload a file"!

Princeton Miller: "hahaha, Mr. Tom, what a coincidence. I've just finished my work on topological homology group theorems."

Princeton hatch: it seems that everyone's speed is very good. I thought I was the first to finish it. I didn't expect you to be the fastest, Tom

The fastest man!

Although Cheng Nuo won the title, he was not happy at all.

Judging from the current situation, the research speed of the three people is not slower than their own, even faster than him.

After all, as soon as he finished, he just checked it and uploaded it directly.

Cheng Nuo frowned tightly, and could not help feeling that things were in trouble.

…………

Over there, Professor Bourne is not in a good mood.

Cheng Nuo's document is only a rough inspection, but the three of them are not as good. Because when Cheng Nuo uploaded documents in the group, the three of them could only finish the first task.

As soon as I got up with the idea of checking the research results several times, I heard the sound of the mobile phone, and their news came into my eyes.

In a hurry, there is no time to check, directly uploaded.

Professor Bourne talked to Miller privately, "well, we're still a little bit slow."

Miller took a sip of his coffee at the table, plucked himself up and typed with a bitter smile. "I didn't expect him to be so fast. I didn't have time to check it out a few times before I passed it on."

Professor Bowen: "who is not! Let's forget it this time. We've lost a city. Next time, we'll be at least a few hours ahead of him. "

Miller yawned: "sure! I'm not afraid of anyone if I explode liver! "

At the beginning, in order to catch up with the progress of the project, he worked nonstop for two days and three nights.

"Yes." Miller continued to send a message, "I bought several cases of" Shenbao "drinks from China by purchasing on behalf of others. I heard that it has a great effect on exploding liver. Would you like to try Mr. Bowen?"

"Bring me a box!" Professor Bourne is very old, almost to the age of liver immobility, so when he heard this "strange medicine", his eyes immediately brightened.

"Send some to hutch, too. We can't lose the chain for a while." Professor Bourne added.

…………

After a minute or two of silence during the group chat, Professor Bourne came out and said, "let's check these four documents first to avoid problems in later use."

Cheng Nuo type a "OK", then download the other three documents, roughly check up.

Half an hour later, Cheng Nuo typed, "no problem!"

After a period of time, the other three people also typed "no problem".

"Since we haven't found any problems, let's continue to work and strive to finish the research as soon as possible. Come on!"

"Come on

"Come on

“Fighting！”

In front of the screen, four people with black eyes are cheering each other!

Cheng Nuo turned off his mobile phone, looked up at the bright sunshine outside the window and sighed heavily.I wanted to sleep for a while after finishing the first task, but now

Still sleep a wool sleep, burst liver work!

Cheng Nuo opened a bottle of Shenbao, Gudong Gudong drink half a bottle, instant again energetic.

Don't weaken the momentum of Massachusetts!

In my heart, Cheng Nuo opens the computer and creates a new document.

Three professors from the world's top 5 universities, I'll do it!

…………

Given the fields K (arbitrary characteristic) and K (characteristic 0), note the category V (k) of smooth projective family on K, and grvect (k) of graded K algebras. Define the wey cohomology functor as the inverse functor h *: V (k) → grvect (k). For all d-dimensional projective clusters x, the following axioms are satisfied:]

[finite axiom: H ^ I (x) is a linear space of finite dimension K. 】The vanishing axiom: H ^ I (x) = 0, unless 0 ≤ I ≤ 2D. 】

[orientation axiom: H ^ 2D (x) = K. 】

[Poincare duality: there is a non degenerate pairing H ^ I (x) "*" H ^ 2d-1 (x) → H ^ 2D (x) = K. 】

[kunnenth formula: there is canonical isomorphism h * (x) "*" h * (y) → h * (x * y). 】

[closed chain mapping: note the k-linear space formed by the rational equivalent class of algebraic closed chain with C ^ I (x) codimension I. the existence of closed chain mapping is required clx:C ^I (x) → H ^ 2I (x) satisfies functor property and is compatible with kunneth formula. When x degenerates to a single point, the embedding Q → K is given. 】

done!

With messy hair, Cheng Nuo knocks down the last line of words on the keyboard and happily clicks his finger.

With the blessing of Shenbao, Cheng Nuo took more than two days to finish the next task.

Based on the research results of the previous stage, six axioms are derived for all d-dimensional projective clusters.

Without too much hesitation, Cheng Nuo simply checked the document and uploaded it to chat group.

Without waiting for Cheng Nuo to show off without a trace of typing, three documents were uploaded in almost part successively.

For a long time, Cheng Nuo's slightly swollen eyes turned red, staring at the screen, his eyes full of blood.

Those three guys are so cruel!

Professor, you are professors! It's not normal to stay in the office and make tea. Do you need to work so hard with me?

I just want to help the school earn face?!

Cheng Nuo looks at the four documents in a row in the group, and has an impulse to cry.

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