Chapter 448

Chapter 451

Jacobian conjecture.

The simplest form of introducing Jacobian conjecture is: the Jacobian conjecture for two variables: given two polynomials f (x, y), G (x, y) over a field K with characteristic 0, the following Jacobian conditions are satisfied:

J_ The nonzero constant in {x, y} (f (x, y), G (x, y) = K.

Then we get k [x, y] = k [F, g].

This is the concrete content of Jacobi's conjecture.

As one of the famous conjectures in the field of algebraic geometry, Jacobi's conjecture is not difficult to understand.

People with a little knowledge of calculus can easily understand it.

Therefore, Jacobi's conjecture has always been a hot research field.

Since it was proposed in 1939, nearly a hundred years of development has made mathematicians closer and closer to the real success of proof.

Maybe four or five steps, or maybe just one step.

The theory of Jacobi's conjecture has been gradually improved, and some even have formed a separate research direction.

It can be said that in such an environment, it is only a matter of time before Jacobi's conjecture is proved to be successful.

Only bad, finally someone pushed open the door!

And Cheng Nuo wants to be the one who pushes the door open.

In terms of difficulty, among all the mathematical conjectures, Jacobi's conjecture is only included in the third echelon.

In the second echelon, similar ABC conjecture, corner Valley conjecture and four color conjecture are too difficult. Cheng Nuo has not considered them for the time being.

After a selection, Cheng Nuo thinks that Jacobi's guess is the most appropriate.

Besides, since he has found a vague direction in his mind, Cheng Nuo thinks he can try it.

If you want other people to come, you will have a rare opportunity to lead a project. You must choose a common difficulty to be stable and have a lot of qualifications.

Kechengnuo is different.

His stay at Cambridge University is only half a year at most.

It's no use being a part of the Mathematics Institute because he won't stay in Cambridge all the time.

It's better to make a big one than to mix it up for half a year.

Jacoby conjectured that although it could not be compared with several big mountains which had been standing in the mathematical world for hundreds of years, it could be regarded as a small peak.

At the same time, taking this opportunity, Cheng Nuo wants to test whether he can climb the mountain with all his strength.

What a proud thing it is to carve your name on the top of the mountain!

…………

March 15.

In three days, Cheng Nuo's application for the project was approved and put under the name of the Institute of mathematics and physics of Cambridge University.

Aldin assigned Cheng Nuo an empty office on the third floor of the Institute of mathematics and physics.

The efficiency of the Institute is extremely fast.

The next day, the funds, equipment and personnel will all arrive.

Cheng Nuo also met Danton and Qiao Ya in the office.

"Hello, two senior students. This is not three days, but the next six months, we will fight together!" Cheng Nuo says hello with a smile.

Danton wryly laughed, "Cheng Nuo, you'd better not call us senior. If you want to graduate, I'm afraid we'll call you a senior now. "

Cheng Nuo shrugged, no longer tangled with this, "I'd like to give you two a brief account of our research topic."

"The title of our research project is called" Keller mapping local bijectivity method of Jacobian conjecture ". In short, it is..."

After listening to Cheng Nuo's story, Danton has been shocked and speechless.

"Cheng Nuo, you have to prove Jacoby's conjecture!"

Cheng Nuo grinned, revealing a row of white teeth, "to be exact, it's us! We are going to prove the Jacobi conjecture

"This is crazy!" Joey shook her head and exclaimed.

They are only three students, but they challenge the famous Jacobian conjecture in mathematics. It's unbelievable!

Cheng Nuo put his arms around their shoulders, looked through the window and looked into the distance. "If you put the conjecture there, it's not for people to conquer it! And what can't we do if we want the one who conquers? "

"We in China have a saying," if you try, you may fail, but if you don't try, you will never succeed. "! Believe me, we can do it! "

"Well!" They nodded heavily, and their eyes gradually became firm.

…………

Half a year later!

Spring goes and autumn comes.

On the path leading to the Institute of mathematics and physics, the breeze is blowing, and the maple leaves are flying in the air.

In an office on the third floor.

Turning his pen, Cheng Nuo leaned against the back of his chair and looked out of the window. He looked at Cambridge University, which was full of autumn. His eyes were slightly distracted."Almost, it's time to get out of here." Cheng Nuo sighs.

"Please come in!"

The door of the office was pushed open.

Danton, wearing a duck cap, put a pile of documents on Cheng Nuo's desk. His face was full of joy. "Cheng Nuo, I have shown the process of our proof to director Aldin."

"Oh?" Cheng Nuo turned the chair around, touched his chin and said, "what did the director say?"

"The director of this document took it to see for four days, but when he returned it to me, he didn't say anything, just The look in my eyes is strange! " Danton scratched his head.

Cheng Nuo laughed, "the director didn't say there was a problem with our proof process?"

Danton scratched his head. The director said that our paper is perfect, he has not picked out any flaws, let us directly contribute

Danton went on, looking excited. "To tell you the truth, I really didn't expect that we could prove Jacoby's conjecture in half a year!"

Cheng Nuo picked up the cup and took a sip.

Compared with Danton's excitement, Cheng Nuo is more indifferent.

In fact, as early as two months after the beginning of the study, Cheng Nuo knew that his direction of proof was correct as soon as the results of that deduction came out.

Now that I get the answer, I'm in my expectation.

Since Aldin said there was no problem, there was probably no big accident. After all, Aldin has been the editor of the Journal of the Ying Mathematical Society.

Jacoby conjectured that It was really proved by myself!

The expected excitement and excitement did not appear at the moment.

The natural process, let Cheng Nuo seems to feel a little inflated.

Jacobi's guess?

It's just a little third guess.

It's proved. What can I show off?

It's not too late to prove the Riemann conjecture.

"Is the pit occupied?" Cheng Nuo asked George with a smile.

George nodded. "I've sent the preprint of the paper to arXiv."

"That's good." Cheng Nuo knocked on his forehead, "but this paper should be put in as soon as possible. The research on Jacobi's conjecture has never stopped in various universities. It would be too hard if it was preempted by others."

"But which journal would you like to invest in?" Cheng Nuo frowns.

"Just put it in the Journal of the Yingguo Mathematical Association." An old voice came. Director Aldin walked in without knocking on the door. "After all, I'm one of the reviewers of this journal. I'll write a letter of recommendation, and I'm sure I can get your paper published as soon as possible."

"I can't believe it. I didn't expect much, but I didn't expect you to do it." Aldin looks at Cheng Nuo with complicated eyes.

www.novelhold.com , the fastest update of the webnovel!